6
algebra

Which linear function has a range of all real numbers?

A

y=2x+1y = 2x + 1

B

y=5y = 5

C

x=3x = 3

D

None of the above

Correct Answer: A

Choice A is the correct answer. Diagonal lines.

  1. Diagonal (meq0m eq 0): Goes up and down forever. Range is (,)(-\infty, \infty).
  2. Horizontal (y=5y=5): Range is just {5}\{5\}.
  3. Vertical (x=3x=3): Range is (,)(-\infty, \infty) but it's not a function.

💡 Strategic Tip: Any non-horizontal linear function covers all y-values.

Choice B is incorrect.Choice C is incorrect because not a function. Choice D is incorrect.